04b_Regions_Functionality.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Regions\n",
    "\n",
    "_Regions_ in `ds9` serve multiple purposes.  Some are purely decorative such as the `Text` and `Compass`.  Some are functional such as `Projection`, and some represent multiple analysis regions such as `Annulus` and `Panda`\n",
    "\n",
    "> `Panda` = `Pie` `AND` `Annulus`\n",
    "\n",
    "In this section we demonstrate a few of these\n",
    "\n",
    "- Decorations\n",
    "- Plot3D\n",
    "- Statistics\n",
    "- Projection"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Region Functionality\n",
    "\n",
    "Basic regions (circle, box, polygon, ellipse)  in `ds9` are also _functional_."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Data\n",
    "\n",
    "This is a special dataset.  Before the iconic Chandra CasA first light, we had to be sure that the\n",
    "instruments were still in focus.   The isolated point source _PKS0637-752_ was selected as the calibration target.\n",
    "When the data were processed, there was something to the East of the source.  Soon thoughts of Hubble's blurry mirrors sprang to mind along with potential of software bugs.  Luckily, we found out that the smudge was coincident with a Radio jet -- and what we thought was a problem, was in fact Chandra's first scientific discovery of an unresolved X-ray jet.\n",
    "\n",
    "\n",
    "[PKS0637-752 OBS_ID 62554](http://cda.harvard.edu/srservices/ocatDetails.do?obsid=62554)\n",
    "\n",
    "```bash\n",
    "download_chandra_obsid 62554 evt2\n",
    "```\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Live Statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] 27616\n"
     ]
    }
   ],
   "source": [
    "cd RegionFunctionality\n",
    "ds9 acisf62554N003_evt2.fits -scale log -zoom 8 -pan to 3893 4038 physical & "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": []
    },
    {
     "data": {
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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xpaset -p ds9 regions command \"circle(3893,4038,10)\"\n",
    "\n",
    "import -window \"SAOImage ds9\" ds9_04_regions_03.png \n",
    "display < ds9_04_regions_03.png"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": []
    },
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Region -> Get Information\n",
    "# Analysis -> Statistics\n",
    "# Close Circle info box\n",
    "sleep 5\n",
    "\n",
    "import -window \"Circle\" ds9_04_regions_04.png \n",
    "display < ds9_04_regions_04.png"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "xpaset -p ds9 regions delete all"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "#### Projection Region"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": []
    },
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xpaset -p ds9 regions load ds9.reg \n",
    "\n",
    "import -window \"SAOImage ds9\" ds9_04_regions_05.png \n",
    "display < ds9_04_regions_05.png"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": []
    },
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Double Click Region, Analysis -> Plot2D\n",
    "# close Projection info window\n",
    "sleep 5\n",
    "\n",
    "import -window \"Projection\" ds9_04_regions_06.png \n",
    "display < ds9_04_regions_06.png"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1]+  Done                    ds9 acisf62554N003_evt2.fits -scale log -zoom 8 -pan to 3893 4038 physical\n"
     ]
    }
   ],
   "source": [
    "xpaset -p ds9 quit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Bash",
   "language": "bash",
   "name": "bash"
  },
  "language_info": {
   "codemirror_mode": "shell",
   "file_extension": ".sh",
   "mimetype": "text/x-sh",
   "name": "bash"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}